NCERT Solutions for Class 10 Maths Exercise 14.4

NCERT Solutions for Class 10 Maths Exercise 14.4 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Statistics Download as PDF

NCERT Solutions for Class 10 Maths Statistics

1. The following distribution gives the daily income of 50 workers of a factory:

Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.

Ans.

Now, by drawing the points on the graph,

i.e., (120, 12); (140, 26); 160, 34); (180, 40); (200, 50)

Scale: On axis 10 units = Rs. 10 and on axis 10 units = 5 workers

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NCERT Solutions for Class 10 Maths Exercise 14.4

2. During the medical checkup of 35 students of a class, their weights were recorded as follows:

Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.

Ans.

Hence, the points for graph are:

(38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32), (52, 35)

Scale: On axis, 10 units = 2 kg and on axis, 10 units = 5 students

From the above graph, Median = 46.5 kg, which lies in class interval 46 – 48.

Here, , then , which lies in interval 46 – 48.

Median class = 46 – 48

So, and

Now, Median =

=

=

= 46 + 0.5

= 46.5

Hence median weight of students is 46.5 kg.

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3. The following table gives production yield per hectare of wheat of 100 farms of a village.

Change the distribution to a more than type distribution and draw its ogive.

Ans.

The points for the graph are:

(50, 100), (55, 98), (60, 90), (65, 78), (70, 54), (75, 16)

Scale: On axis, 10 units = 5 kg/ha and on axis, 10 units = 10 forms.

NCERT Solutions for Class 10 Maths Exercise 14.4

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